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Finding the Third Proportional to 135,931.50 and 293,733

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Solution

The third proportional to 135,931.50 and 293,733 is: 634,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931.50 : 293,733 = 293,733 : x
  2. Step 2: Convert to fraction form
    135,931.50/293,733 = 293,733/x
  3. Step 3: Cross multiply
    135,931.50x = 293,733 × 293,733
  4. Step 4: Simplify right side
    135,931.50x = 86,279,075,289
  5. Step 5: Solve for x
    x = 86,279,075,289/135,931.50
  6. Step 6: Final answer
    x = 634,724.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.